Answer:
192.5 in³
Step-by-step explanation:
The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.
Thus the volume V = lbh =
V = (20-2x)*(10-2x)*(x)
V = 4x³ - 60x² + 200x
On differentiating, we have dv/dx to be
dv/dx = 12x² - 120x + 200
Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113
This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.
You cut 2.113 inches from each corner to obtain the maximum volume.
The sizes of the cubes are
20 - (2 * 2.113) = 15.774
10 - (2 * 2.113) = 5.774
2.113
The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.
Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent
Answer:
$38.48
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
Rule: multiply by 2 Pattern: 3,6,12,24,48 Observation: Observation = something similar about the numbers
Step-by-step explanation:
This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.
Like for example:
3,6,12,24,48
The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:
3x2 = 6
6x2 = 12
12x2 = 24
24x2 = 48
It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.
In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.
Answer:
2 units
Step-by-step explanation:
We are given that
Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian
Length of an arc=[tex]\pi[/tex]
We have to find the radius of circle in simples form.
We know that
[tex]\theta=\frac{l}{r}[/tex]
Where l=Length of arc
r=Radius of circle
Using the formula
[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]
[tex]r=\frac{2\times \pi}{\pi}[/tex]
[tex]r=2[/tex]units
Hence, the radius of the circle=2 units
Intro to slope-intercept form What is the y-intercept of the line represented by y = -6x – 11? Choose 1 answer: А (0, -6 B (0, -11) (-6,0) D (-11,0) Check About
pls help i suck at math
Answer:
d
Step-by-step explanation:
Sami has 12 Balloons . 2/3 of them are Green and the rest is Red balloons. What's is the ratio of Green to Red balloons
how much is 28 yards in feet
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
HAVE A GOOD DAY!
Brainliest????
A box of dried fruit has 80 calories in 5 servings. How many calories are there per serving?
Answer:
16 calories per serving
Step-by-step explanation:
80/5=16 calories per serving
Answer:
16 calories per serving. Hope this helps
Step-by-step explanation:
Please help I need it for today
Step-by-step explanation:
Disculpe pero de qué grado es usted para ayudarle un poquito más mejor
Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?
50 – 5x = y and 46 – 4x = y
5x + 50 = y and 4x + 46 = y
5x – 50 = y and 4x – 46 = y
5 – 50x = y and 4 – 46x = y
Answer:
50 – 5x = y and 46 – 4x = y, is your answer
How much will
11. The markup on a restaurant meal is 250%. A meal costs $7.30 to produce.
the customer be charged before tax and tip?
hsdhjdjs
Answer:
2.5t 7.3=18.25
Step-by-step explanation:
250/100,please mark as brilliant
1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?
Answer:
16 rs maybe not sure sry if wrong
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
plz rate my answer
can someone solve this
A local little league has a total of 60 players, of whom 40% are left-handed. How many left - handed players are there?
Answer:
24 players
Step-by-step explanation:
Answer:
24. 60 X 4/10 is 24
Step-by-step explanation:
Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.
Answer:
The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Step-by-step explanation:
As given,
Mary ate cherries = x pound
And
Leslie ate [tex]\frac{6}{9}[/tex] more.
⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Graph this function: y+6=1/2(x-1)
Answer:
Hope this helps! Have a great day!
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
[tex]y = \frac{x}{2}-\frac{13}{2}[/tex]
Rewrite
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope: [tex]\frac{1}{2}[/tex]
y-intercept: [tex](0, -\frac{13}{2})[/tex]
good luck, hope this helps :)
When graphing a system of equations with INFINITE SOLUTIONS,
the SLOPES of the two lines will be__________.
Answer:
Step-by-step explanation:
Hgbuf7g
Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?
Answer:
12.35-4.30=8.05
8.05÷3= 2.68333333333333....
≈2.68
22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach
Answer:
20.1 feet
Step-by-step explanation:
We solve the above question using the Pythagoras Theorem
The Pythagoras Theorem =
Opposite² + Adjacent ² = Hypotenuse²
From the above question,
Opposite side = Height of the wall = x
Adjacent side = Distance from the base of the building = 9 feet
Hypotenuse = Length of the ladder = 22 feet
Hence:
x² + 9² = 22²
x² = 22² - 9²
x = √22² - 9²
x = √403
x = 20.0748599 feet
Approximately = 20.1 feet
Therefore, the height of the wall = 20.1 feet
I need help my brain is too small to answer this
Answer:
5/6 or 0.83
Step-by-step explanation:
5 ÷ 6 = 0.83 or 5/6
Solve for x
Solve for x
Answer:
23.1
Step-by-step explanation:
14/20*x/33
Cross multiply
14*33=20*x
462=20*x
462/20=x
23.1=x
Hope this helps :)
Answer:
According to the ratio of segments:-
[tex]\frac{20}{14} =\frac{33}{x}[/tex][tex]20x=14(33)[/tex]
[tex]20x=462[/tex]
[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿cuanto hizo en la segunda?
Answer:
Segunda etapa= 123.75 metros
Step-by-step explanation:
Altura total= 225 metros
En la primera estapa subió el 20% (un quinto):
Primera etapa= 225*0.2= 45 metros
En la tercera etapa subió 25% (un cuarto):
Tercera etapa= 225*0.250 56.25 metros
Ahora debemos determinar cuánto subió en la segunda etapa:
Segunda etapa= altura total - total subido
Segunda etapa= 225 - (45 + 56.25)
Segunda etapa= 123.75 metros
1 and 1/3 - 5/6
(ill mark when 2 answers)
(have a good day )
(HELP MEH PLZZ)
Answer:
1 1/3 - 5/6 = 1/2
Step-by-step explanation:
First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;
1/3 = 2/6
now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;
5/6 - 2/6 = 3/6
this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;
1 - 1/2 = 1/2
GRAND TOTAL;
1 1/3 - 5/6 = 1/2
(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)
Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?
Answer:
$17600
Step-by-step explanation:
0510006 please answer this
what is 8*29
Answer:
8*29=232
Step-by-step explanation:
if you take 8*20 you get 160
if you take 8*9 you get 72
Add them and you get 232
What is 38 times 4 plus the square root of 30
Answer:157.47722557
Step-by-step explanation:
Using suitable identity find 5.62
− 0.32
Answer:
5.62 - 0.32= 5.3 or 5.30
Step-by-step explanation:
SOMEONE ANSWER THESE ASAP
MARKING BRAINLIEST
PLEASE HELPPPPP
Sorry this took a while; calculated a lot of things.
Step-by-step explanation:
A.
Combined:
2.67 times 23.76 = 63.4392
2.67 times - 21 and 5/6 = -58.295
63.4392 - 31.85 -58.295 = -26.7058
If you mean do both separate:
63.4392 - 31.85 = 31.5892
-58.295 - 31.85 = -90.145
B.
Combined:
11 and 3/4 times 23.76 = 279.18
11 and 3/4 times 21 and 5/6 = 256.541666667
279.18 + 256.541666667 + 56 and 3/8 = 592.096666667
If you mean do both separate:
279.18 + 56 and 3/8 = 335.555
256.541666667 + 56 and 3/8 = 312.916666667
6x – 8y = -94
-X + 8y = 49
a. Subtract to eliminate y.
b. Subtract to eliminate x.
c. Add to eliminate y.
d. Add to eliminate x.
Answer:
photomath, assistant in mathematics, will decompose everything and give the correct answer.
Place an X in the table to show the percent decrease from the first number to the second number 12% 15% 150 to 132 275 to 242 300 to 255
Answer:
hi
Step-by-step explanation:
hi